{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Object shape model - estimation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Measure ray features and estimate the model over whole dataset.\n",
    "We play a bit with different mixture strategies sich as GMM, Mean shift, Kmeans, etc."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import os, sys, glob\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "from PIL import Image\n",
    "import matplotlib.pylab as plt\n",
    "from scipy import ndimage"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "sys.path += [os.path.abspath('.'), os.path.abspath('..')] # Add path to root\n",
    "import imsegm.utilities.data_io as tl_io\n",
    "import imsegm.region_growing as tl_rg\n",
    "import imsegm.descriptors as tl_fts"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Loading ovary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['center_levels', 'image', 'annot_struct', 'ellipse_fitting', 'annot_eggs', 'segm_rgb', 'segm', 'image_cut-stage-2']\n"
     ]
    }
   ],
   "source": [
    "COLORS = 'bgrmyck'\n",
    "PATH_IMAGES = tl_io.update_path(os.path.join('data-images', 'drosophila_ovary_slice'))\n",
    "PATH_DATA = tl_io.update_path('data-images', absolute=True)\n",
    "PATH_OUT = tl_io.update_path('output', absolute=True)\n",
    "PATH_MEASURED_RAYS = os.path.join(PATH_IMAGES, 'eggs_ray-shapes.csv')\n",
    "print ([os.path.basename(p) for p in glob.glob(os.path.join(PATH_IMAGES, '*')) if os.path.isdir(p)])\n",
    "dir_annot = os.path.join(PATH_IMAGES, 'annot_eggs')\n",
    "# dir_annot = os.path.expanduser('/home/jirka/Dropbox/temp/mask_2d_slice_complete_ind_egg')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Loading..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "nb images: 67 SAMPLES: \n ['insitu14807.png', 'insitu14808.png', 'insitu14809.png', 'insitu14810.png', 'insitu14811.png']\n"
     ]
    }
   ],
   "source": [
    "list_paths = sorted(glob.glob(os.path.join(dir_annot, '*.png')))\n",
    "print ('nb images: %i SAMPLES: \\n %s' % (len(list_paths), repr([os.path.basename(p) for p in list_paths[:5]])))\n",
    "list_segms = []\n",
    "for path_seg in list_paths:\n",
    "    seg = np.array(Image.open(path_seg))\n",
    "    list_segms.append(seg)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Randomly selected sample image from fiven dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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A9vLEETEVEXsjYi+80MtdJUk9aBL0M8BMZj5YynfQCf5nZ6dkys9DZf0BYG3X/deUuqNk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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f37e6db8e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "seg = list_segms[np.random.randint(0, len(list_segms))]\n",
    "_= plt.imshow(seg, cmap=plt.cm.jet)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compute Ray features"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Simple statistic over measured normalised Ray features over whole dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "nb eggs: 241 ; nb rays: 36\n"
     ]
    }
   ],
   "source": [
    "list_rays, list_shifts = tl_rg.compute_object_shapes(list_segms, ray_step=10, interp_order='spline', smooth_coef=1, shift_method='max')\n",
    "print ('nb eggs: %i ; nb rays: %i' % (len(list_rays), len(list_rays[0])))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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sHeQKO4vSZU2wtzbAlHb1cfLZG1z0U27voaatDSwmT0b61atIu3z5o+tf2XyF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\nAweQdxyh/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BQ0ioiIGegcodR/8w11X7uTaTTR0fjcfRcV5bXYP1+OTeNBxBuvETJmJOA2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\nrBgzmUwmk5khK8ZMJpPJZGb4/0BFHcnAMr56AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f37e6db8a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(7, 4))\n",
    "x_axis = np.linspace(0, 360, len(list_rays[0]), endpoint=False)\n",
    "plt.plot(x_axis, np.array(list_rays).T, '-')\n",
    "plt.grid(), plt.xlim([0, 350])\n",
    "_= plt.xlabel('Ray norm Angle [deg]'), plt.ylabel('Distance [px]')\n",
    "#fig.savefig(os.path.join(PATH_OUT, 'shape-rays_all.pdf'), bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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tsBkmApcCvwF+BvyhzXfG44i7QNva2kxra6tpb283ImLa29tNa2uraWtryxkau7gq46Td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\nuuT/BzxRTZjyHObnAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3808f02650>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df = pd.DataFrame(np.array(list_rays), columns=x_axis.astype(int))\n",
    "df.to_csv(PATH_MEASURED_RAYS)\n",
    "\n",
    "df.plot.box(figsize=(7, 4), grid=True)\n",
    "plt.plt.xticks(range(1, 37, 2), [str(i * 10) for i in range(0, 36, 2)])\n",
    "_= plt.xlabel('Ray norm Angle [deg]'), plt.ylabel('Distance [px]')\n",
    "#plt.savefig(os.path.join(PATH_OUT, 'shape-rays_statistic.pdf'), bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Clustering"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can compte thre Ray features from segmentation or load precomputed vectors in CSV file."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "df = pd.read_csv(PATH_MEASURED_RAYS, index_col=0)\n",
    "list_rays = df.values\n",
    "x_axis = np.linspace(0, 360, list_rays.shape[1], endpoint=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Spectral Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "label histogram: array([  6,   2,   2,   2,   2,   2,   2,   2,   2, 219])\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python2.7/dist-packages/sklearn/manifold/spectral_embedding_.py:234: UserWarning: Graph is not fully connected, spectral embedding may not work as expected.\n  warnings.warn(\"Graph is not fully connected, spectral embedding\"\n"
     ]
    }
   ],
   "source": [
    "from sklearn import cluster\n",
    "\n",
    "model = cluster.SpectralClustering(10)\n",
    "model.fit(np.array(list_rays))\n",
    "print ('label histogram: %s' % repr(np.bincount(model.labels_)))\n",
    "\n",
    "list_ray_core = []\n",
    "for lb in np.unique(model.labels_):\n",
    "    mean_rays = np.mean(np.asarray(list_rays)[model.labels_ == lb], axis=0)\n",
    "    mean_rays = ndimage.filters.gaussian_filter1d(mean_rays, 1)\n",
    "    list_ray_core.append(mean_rays)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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VIcCUQD8eTI7mpBB/3G3sSV8WFcI/mqOZU1zBO/vKuD1rD/fn7OWcsEAuiQpm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RAAAQ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\nwuFwOBwl+X++IxxQquGSYAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1985b89ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#fig = plt.figure(figsize=(10, 5))\n",
    "plt.plot(x_axis, np.array(list_ray_core).T, '-')\n",
    "plt.grid(), plt.xlim([0, 360])\n",
    "_= plt.xlabel('Ray norm Angle [deg]'), plt.ylabel('Distance [px]')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Mean Shift"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[8 6 3 2]\n"
     ]
    }
   ],
   "source": [
    "from sklearn import cluster\n",
    "\n",
    "mean_shift = cluster.MeanShift()\n",
    "mean_shift.fit(np.array(list_rays))\n",
    "print ('label histogram: %s' % repr(np.bincount(mean_shift.labels_)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Syk9umvQD0Nd6vy+w9qbxfaxnMzUGrkkp4wrL4KyM1aoR+cnH5B4+QuxrryMN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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1985a4c7b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#fig = plt.figure(figsize=(10, 5))\n",
    "plt.plot(x_axis, mean_shift.cluster_centers_.T, '-')\n",
    "plt.grid(), plt.xlim([0, 360])\n",
    "_= plt.xlabel('Ray norm Angle [deg]'), plt.ylabel('Distance [px]')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Gaussian Mixture Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "weights: [0.19914697 0.09375047 0.1318912  0.16338295 0.11149782 0.16540886\n",
      " 0.0531903  0.04021706 0.02724381 0.01427057] means: (10, 36) covariances: (10, 36, 36)\n"
     ]
    }
   ],
   "source": [
    "from sklearn import mixture\n",
    "\n",
    "gmm = mixture.BayesianGaussianMixture(n_components=10)\n",
    "gmm.fit(np.array(list_rays))\n",
    "# gmm.fit(np.array(list_rays), mean_shift_labels)\n",
    "print ('weights:', gmm.weights_, 'means:', gmm.means_.shape, 'covariances:', gmm.covariances_.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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pL+pMV5+UlcKWv4N9c8UVvpzLly9z8uRJevbsibOzcz0K1A3VQFSDr68vQgjd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1ZE9pKjQggDylI2pVLKDiFEKtANSOD/AulSyqcvdYy8zAz5L197is6GetyOodBxNcSnZ5CSm09K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\nh6olAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f19859be080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#fig = plt.figure(figsize=(10, 5))\n",
    "plt.plot(x_axis, gmm.means_.T, '-', label=' ')\n",
    "plt.grid(), plt.xlim([0, 360])\n",
    "_= plt.xlabel('Ray norm Angle [deg]'), plt.ylabel('Distance [px]')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Agglomerative Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2 4 4 2 3 3 1]\n"
     ]
    }
   ],
   "source": [
    "agg = cluster.AgglomerativeClustering(7)\n",
    "agg.fit(np.array(list_rays))\n",
    "# gmm.fit(np.array(list_rays), mean_shift_labels)\n",
    "print ('label histogram: %s' % repr(np.bincount(agg.labels_)))\n",
    "\n",
    "list_ray_core = []\n",
    "for lb in np.unique(model.labels_):\n",
    "    mean_rays = np.mean(np.asarray(list_rays)[model.labels_ == lb], axis=0)\n",
    "    mean_rays = ndimage.filters.gaussian_filter1d(mean_rays, 1)\n",
    "    list_ray_core.append(mean_rays)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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VIcCUQD8eTI7mpBB/3G3sSV8WFcI/mqOZU1zBO/vKuD1rD/fn7OWcsEAuiQpm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RAAAQ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\nwuFwOBwl+X++IxxQquGSYAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1985948c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plt.figure(figsize=(10, 5))\n",
    "plt.plot(x_axis, np.array(list_ray_core).T, '-')\n",
    "plt.grid(), plt.xlim([0, 360])\n",
    "_= plt.xlabel('Ray norm Angle [deg]'), plt.ylabel('Distance [px]')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Cumulativ Priors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "df = pd.read_csv(PATH_MEASURED_RAYS, index_col=0)\n",
    "list_rays = df.values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def compute_prior_map(cdist, size=(500, 800), step=5):\n",
    "    prior_map = np.zeros(size)\n",
    "    centre = np.array(size) / 2\n",
    "    for i in np.arange(prior_map.shape[0], step=step):\n",
    "        for j in np.arange(prior_map.shape[1], step=step):\n",
    "            prior_map[i:i+step, j:j+step] = \\\n",
    "                tl_rg.compute_shape_prior_table_cdf([i, j], cdist, centre, angle_shift=0)\n",
    "    return prior_map"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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I1u631y4NIaJdnhv8HwD4FICbmPlrRHQhgO8Otlv9pR44js+Z/A4A4GOLSbeC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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f37e2200990>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "list_cdf = tl_rg.transform_rays_model_cdf_histograms(list_rays, nb_bins=25)\n",
    "cdist = np.array(list_cdf)\n",
    "\n",
    "fig = plt.figure(figsize=(8, 3))\n",
    "_= plt.subplot(1, 2, 1), plt.imshow(cdist[:, :300], aspect='auto'), plt.ylabel('Ray steps'), plt.xlabel('Distance [px]')\n",
    "_= plt.subplot(1, 2, 2), plt.imshow(compute_prior_map(cdist, size=(400, 500), step=5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Mixture model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.21486968  0.05343626  0.17167657  0.13797019  0.01205806  0.1950365\n  0.21495274]\n"
     ]
    },
    {
     "data": {
      "image/png": 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x2u90dSquNzk9C9tnJmHfuUnNuSL4Enai6b+USZaIbV6TH7LFSdSmk7Zee2lz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\nkgbIAV6SpAH6DfhCS9/RG/TEAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f37e2280f50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mm, list_cdf = tl_rg.transform_rays_model_cdf_mixture(list_rays, coef_components=1)\n",
    "cdist = np.array(list_cdf)\n",
    "print (mm.weights_)\n",
    "\n",
    "fig = plt.figure(figsize=(8, 3))\n",
    "_= plt.subplot(1, 2, 1), plt.imshow(cdist[:, :], aspect='auto'), plt.ylabel('Ray steps'), plt.xlabel('Distance [px]')\n",
    "_= plt.subplot(1, 2, 2), plt.imshow(compute_prior_map(cdist, size=(400, 600), step=5))\n",
    "# plt.savefig('shape-rays_gmm-cdf-proj.pdf')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Spectral Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "label histogram: array([233,   2,   2,   2,   2])\n"
     ]
    },
    {
     "data": {
      "image/png": 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XI5SujJROtnRvWEon2wvAVJfr7Z3M3Ae8mb0FeIukXzKz/7iFY3Icx3Ec5zhZ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\nbSu4qwjGfNGdgSWhngUw6wvvSPW9oDh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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f37e2622e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sc, list_cdf = tl_rg.transform_rays_model_cdf_spectral(list_rays)\n",
    "cdist = np.array(list_cdf)\n",
    "print ('label histogram: %s' % repr(np.bincount(sc.labels_)))\n",
    "\n",
    "fig = plt.figure(figsize=(8, 3))\n",
    "_= plt.subplot(1, 2, 1), plt.imshow(cdist, aspect='auto'), plt.ylabel('Ray steps'), plt.xlabel('Distance [px]')\n",
    "_= plt.subplot(1, 2, 2), plt.imshow(compute_prior_map(cdist, step=10))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### K-means"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "label histogram: array([28,  5, 30, 12,  1, 32, 33,  7, 34,  7,  1, 19,  1,  1, 30])\n"
     ]
    },
    {
     "data": {
      "image/png": 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NTe7ZmvtBlp6X9dtal7mfhtWP/Yb094OIVwbFtyZUz39/JqLa2Yn+ZMxZBprQITdKn7EP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\nzMyshf4H92552FihOL0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3829557110>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "km, list_cdf = tl_rg.transform_rays_model_cdf_kmeans(list_rays, 15)\n",
    "cdist = np.array(list_cdf)\n",
    "print ('label histogram: %s' % repr(np.bincount(km.labels_)))\n",
    "\n",
    "fig = plt.figure(figsize=(8, 3))\n",
    "_= plt.subplot(1, 2, 1), plt.imshow(cdist[:, :300], aspect='auto'), plt.ylabel('Ray steps'), plt.xlabel('Distance [px]')\n",
    "_= plt.subplot(1, 2, 2), plt.imshow(compute_prior_map(cdist, size=(400, 600), step=5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Mixture of Cumulativ Models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "df = pd.read_csv(PATH_MEASURED_RAYS, index_col=0)\n",
    "list_rays = df.values"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Gaussian mixture"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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an73FHHVVUlvJvk6XJhb0uhUxpnTdoUlV5xSSeQmAmFrFpFSZgGAUgiI7J0lK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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f37e22b0390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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5myzGIYy5f8lk0FpRidriIzZHaaV+vksr92tjWqKfM0PHuuT60VkC6YlLedZ2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\nMEkrW7Rw+zoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f37e26d1e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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FV04F9lsuUbz63ktylf2PlOM3mnOBLwN/KOkfJL1d0glM+HmZ2T3AbwH/Sh4Y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\nCMdxHGcoPkA4juM4Q/EBwnEcxxnK/weDa4WiSh/r5wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f37e25b4d50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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UVJxdECJrOIA5ANHuwGvMYcwYtO8XY28lvzMwhbhfW6R+kO055qBMoexz0SZ20ASYJshL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\nH1oM2et1evQIAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f37e41766d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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s1GJVreZdqmvLu6Rrci41+IzEOSg0/+taozlfUhNJPT57l+w1RNYUTmo30hzG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\nOM6G/H/a6Mu6nZTxcAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f37e23e8590>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model, list_mean_cdf = tl_rg.transform_rays_model_sets_mean_cdf_mixture(list_rays, 5)\n",
    "max_len = max([np.asarray(l_cdf).shape[1] for _, l_cdf in list_mean_cdf])\n",
    "\n",
    "for i, (mean, list_cdf) in enumerate(list_mean_cdf):\n",
    "    cdist = np.zeros((len(list_cdf), max_len))\n",
    "    cdist[:, :len(list_cdf[0])] = np.array(list_cdf)\n",
    "    plt.figure(figsize=(6, 2))\n",
    "    plt.subplot(1, 2, 1), plt.imshow(cdist, aspect='auto'), plt.xlim([0, max_len]), plt.ylabel('Ray steps'), plt.xlabel('Distance [px]')\n",
    "    plt.subplot(1, 2, 2), plt.imshow(compute_prior_map(cdist, step=10))\n",
    "    # plt.savefig('shape-rays_gmm-cdf-proj_%i.pdf' % (i + 1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### K-Means"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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YzyAIgmAkMUEEQRAEI9k0E0Qp0VVNl4odRY959Zkr+syXfeY6FUVp0DGsY1gH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\nCIKRxAQRBEEQjCQmiCAIgmAk/x+etHWH4mSFrwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f37e22b0e50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Mp19RcfdDCIPliV/TZ9UucQ2jSLvMlIsgM4ecm4CifW/ZeLlbTrvotKvuil13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\nlL8uy78AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f37e2551bd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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gOcyQKTyZgkly6bQFWIWQa31sSblCgwiCKWJmM/nDEnKtj60qVwwQQRAEwUhk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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f37e652ea90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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sFKV30pINoswzyWs8AEkB3zJDiE0yC3Cxvkl6t+Vz3L+Ux+yDw2stdfswCbfHJC1MbA3G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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f37e6545490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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qi1IaJvizmYCkIFL6jsb3YG0awgqblEPygaQU3MN05LadkgqachgmGUxqIaXN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\ncRxnIt5BOI7jOBP5/7hfpJZ41OhsAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f37e43f8350>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model, list_mean_cdf = tl_rg.transform_rays_model_sets_mean_cdf_kmeans(list_rays, 5)\n",
    "max_len = max([np.asarray(l_cdf).shape[1] for _, l_cdf in list_mean_cdf])\n",
    "\n",
    "for mean, list_cdf in list_mean_cdf:\n",
    "    cdist = np.zeros((len(list_cdf), max_len))\n",
    "    cdist[:, :len(list_cdf[0])] = np.array(list_cdf)\n",
    "    plt.figure(figsize=(6, 2))\n",
    "    plt.subplot(1, 2, 1), plt.imshow(cdist, aspect='auto'), plt.xlim([0, max_len]), plt.ylabel('Ray steps'), plt.xlabel('Distance [px]')\n",
    "    plt.subplot(1, 2, 2), plt.imshow(compute_prior_map(cdist, step=10))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Show Shape prior with sample egg"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "centre: (426.3299148683429, 224.6435953276579)\n",
      "angle shift: 220.0\n"
     ]
    }
   ],
   "source": [
    "seg_object = (seg == 3)\n",
    "centre = ndimage.measurements.center_of_mass(seg_object)\n",
    "ray = tl_fts.compute_ray_features_segm_2d(seg_object, centre, edge='down')\n",
    "_, shift = tl_fts.shift_ray_features(ray)\n",
    "print ('centre: %s' % repr(centre))\n",
    "print ('angle shift: %f' % shift)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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P+RqX+tvxJFFzjsgMMWbN3szeCux290cm843d/XZ3X+nuK4uUJ/Olp8Tr/HkSQqB/nnm9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\nEZEcULAXEcmB/w9C9+8n4BaEfgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1988079470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "prior_map = np.zeros(seg_object.shape)\n",
    "error_pos = []\n",
    "for i in np.arange(prior_map.shape[0], step=5):\n",
    "    for j in np.arange(prior_map.shape[1], step=5):\n",
    "        prior_map[i:i+5, j:j+5] = tl_rg.compute_shape_prior_table_cdf([i, j], cdist, centre, angle_shift=shift)\n",
    "\n",
    "_= plt.imshow(prior_map), plt.contour(seg_object, colors='r')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
